11 %> -# Page 86. Theorem 3.40. The correct statement is 'Let \f$\mathcal{P}= \{ x \in \mathbb{R}^n | Ax = b, x \geq 0 \}\f$ be a polyhedron such that each feasible basic solution is non degenerate. The point \f$x^* \in \mathcal{P}\f$ is a vertex of \f$\mathcal{P}\f$ if and only if it is a feasible basic solution.'

15%> -# Page 99. After Eq. (4.15). 'Therefore, we can eliminate \f$\mu_1\f$ and \f$\mu_2\f$ so that

16 %> \f$

17 %> X_q = \{ \lambda | \lambda \leq 1 \},

18 %> \f$

19 %> and the dual function becomes

20 %> \f$

21 %> q(\lambda) = \lambda.

22 %> \f$

23 %> The dual problem is written as

24 %> \f$

25 %> \max \lambda

26 %> \f$

27 %> subject to

28 %> \f$

29 %> \lambda \leq 1

30 %> \f$'

31%>

32%> -# Page 388: 'The algorithm may detect an unbounded problem at step 15, or produce an optimal solution \f$x^*,x_a^*\f$. Consequently, one of the following three possibilities occurs:'. It should be 'The algorithm cannot detect an unbounded problem at step 15, as the objective function of \f$(\mathcal{A}\f$) is bounded below by 0. It always produces an optimal solution \f$x^*,x_a^*\f$. Consequently, one of the following two possibilities occurs:'

33%>

34%> -# Page 388: 'In summary, if the original problem is bounded, solving the auxiliary problem....' should be 'In summary, solving the auxiliary problem....'

35%>

36%> -# Page 546: Example 22.14: 'The best deal is obtained by selling .... for a total of 32,000.01 kEuros' should be 'The best deal is obtained by selling the Botticelli to Harry, the Bruegel to Giny, the Kandinsky to Ron and the last one to Hermione, for a total of 34,000.01 kEuros.'